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Finding the Third Proportional to 30,196 and 65,587

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Solution

The third proportional to 30,196 and 65,587 is: 142,457.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,196 : 65,587 = 65,587 : x
  2. Step 2: Convert to fraction form
    30,196/65,587 = 65,587/x
  3. Step 3: Cross multiply
    30,196x = 65,587 × 65,587
  4. Step 4: Simplify right side
    30,196x = 4,301,654,569
  5. Step 5: Solve for x
    x = 4,301,654,569/30,196
  6. Step 6: Final answer
    x = 142,457.76

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.